To avoid getting lost, you must know how to find your location. There are no street addresses in the wilderness. However, by using a map, you can find your location without difficulty. Maps have black lines running up and down (north and south) and crosswise (east and west). These line...
A common way of finding the poles of a meromorphic function f in a domain, where an explicit expression of f is unknown but f can be evaluated at any given z, is to interpolate f by a rational function such that at prescribed sample points , and then find the roots of q. This is ...
Understanding the overall effectiveness of non-pharmaceutical interventions to control the COVID-19 pandemic and reduce the burden of disease is crucial for future pandemic planning. However, quantifying the effectiveness of specific control measures and the extent of missed infections, in the absence of...
For any convergence criterion we might choose as "close enough" for the bisection algorithm to consider an intersection as having been found, we can always construct a case of two curves that travel together so closely over some shared interval that they appear "close enough" not just at one...
Suppose that α ∈ P is the required simple root for a differentiable function g : P ⊆ R → R within an open real interval P. Then, the proposed three-step numerical method (8) possesses tenth-order convergence, and the asymptotic error term is given by ϵ x n + 1 = g ″ 7...
They provided a deep insight into the spreading and transmission of the COVID-19 virus. The results show that respiratory infection is the main route of virus transmission and the urban environment has a significant effect on the infection risk. It is essential to use an appropriate turbulence ...
() function. Since we used the already annotated endpoints, during the time measurements there were no manual annotation procedures for recording two endpoints in all the vessel segments. For Method 1, we measured the time interval of the DFS path-finding algorithm taken to find paths in all ...